College

We appreciate your visit to Donald s company offers a reimbursement package of tex 0 65 tex per mile plus tex 145 tex a year for maintenance If tex x. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Donald's company offers a reimbursement package of [tex]\$0.65[/tex] per mile plus [tex]\$145[/tex] a year for maintenance. If [tex]x[/tex] represents the number of miles, which equation below models [tex]C[/tex], the total amount of reimbursement the company offers?

A. [tex]C = 65 + 145x[/tex]
B. [tex]C = 65x + 145[/tex]
C. [tex]C = 0.65x + 145[/tex]
D. [tex]C = 0.65 + 145x[/tex]

Answer :

To determine which equation models the total amount of reimbursement, we'll consider the different components of Donald's company's reimbursement package:

1. Per Mile Reimbursement: The company reimburses [tex]$0.65 per mile. If Donald drives \( x \) miles, the reimbursement for mileage would be \( 0.65x \).

2. Annual Maintenance Fee: There is also a fixed maintenance reimbursement of $[/tex]145 per year. This amount does not depend on the number of miles driven.

To create an equation modeling the total reimbursement [tex]\( C \)[/tex], we add the two components together:

- The variable portion depending on the miles driven: [tex]\( 0.65x \)[/tex]
- The fixed portion for maintenance: [tex]\( 145 \)[/tex]

Therefore, the equation combining both parts is:

[tex]\[ C = 0.65x + 145 \][/tex]

Comparing this with the options given:

- A. [tex]\( C = 65 + 145x \)[/tex]
- B. [tex]\( C = 65x + 145 \)[/tex]
- C. [tex]\( C = 0.65x + 145 \)[/tex]
- D. [tex]\( C = 0.65 + 145x \)[/tex]

Option C, [tex]\( C = 0.65x + 145 \)[/tex], correctly represents the total reimbursement model based on the given information. So, the correct answer is:

C. [tex]\( C = 0.65x + 145 \)[/tex]

Thanks for taking the time to read Donald s company offers a reimbursement package of tex 0 65 tex per mile plus tex 145 tex a year for maintenance If tex x. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada